Abstract: Systems for synchronizing a pseudorandom binary sequence signal with a time-delayed version of the same signal without the use of delay lines or programmable counters. This is accomplished by the use of two Pseudorandom Binary Sequence [PRBS] generators for producing the same PRBS signal. Each PRBS generator incorporates as a constituent component a serial shift register with M stages with the outputs of multiple stages fed back through an exclusive-OR to provide an input to the register, thereby to produce a clocked repetitive series of said sequence signal as inputs to each register. The states of shift register are numbered n such that (n-1) clock cycles elapse before the next start state. A start detect circuit is responsive to the start state of the pseudorandom binary sequence signal of the first generator for generating a synchronizing signal at that instant to force the second PRBS generator to be at a state in the binary sequence representing a delayed point in the sequence.